Question

The probability that Ali can solve a problem is 0.3, the probability that Ahmad can solve...

The probability that Ali can solve a problem is 0.3, the probability that Ahmad can solve the same problem is 0.6. Find

a.The probability that both of them can’t solve the problem

b.The probability that at least one of them can’t solve the problem.

Math   Statistics-And-Probability   
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Answer #1

p(ali solve)=0.3 p(ali not solve) =1 - 0. 3= 0.7

p(ahmad solve)= 0.6 p ( ahmad not solve) = 1 - 0.6 = 0.4

a) p( cant solve both)= 0.7*0.4

=0.28

asking for the probability that neither solves the problem, so it requires you to multiply 0.7 by 0.4, which gives you 0.28.

b)The probability that at least one of them can’t solve the problem.

p(ali not solve + ahmad not solve) = p(ali not solve) +  p ( ahmad not solve) - p(ali not solve and ahmad not solve)

= 0.7+0.4- (0.7*0.4)

= 1.1-0.28

= 0.82

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